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31371313284 = 2234375714583
BaseRepresentation
bin11101001101111000…
…000100000010000100
32222222022122211120000
4131031320010002010
51003222024011114
622224540041300
72160260522523
oct351570040204
988868584500
1031371313284
1112339319aa3
1260b6233230
132c5c50b58c
1417386104ba
15c39203e09
hex74de04084

31371313284 has 120 divisors (see below), whose sum is σ = 84393236928. Its totient is φ = 10154445120.

The previous prime is 31371313277. The next prime is 31371313291. The reversal of 31371313284 is 48231317313.

31371313284 is a `hidden beast` number, since 3 + 1 + 371 + 3 + 1 + 3 + 284 = 666.

It is an interprime number because it is at equal distance from previous prime (31371313277) and next prime (31371313291).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6842857 + ... + 6847439.

Almost surely, 231371313284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31371313284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196618464).

31371313284 is an abundant number, since it is smaller than the sum of its proper divisors (53021923644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31371313284 is a wasteful number, since it uses less digits than its factorization.

31371313284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5196 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 31371313284 in words is "thirty-one billion, three hundred seventy-one million, three hundred thirteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 571 666 999 1142 1332 1713 1998 2284 2997 3426 3996 4583 5139 5994 6852 9166 10278 11988 13749 15417 18332 20556 21127 27498 30834 41247 42254 46251 54996 61668 63381 82494 84508 92502 123741 126762 164988 169571 185004 190143 247482 253524 339142 371223 380286 494964 508713 570429 678284 742446 760572 1017426 1140858 1484892 1526139 1711287 2034852 2281716 2616893 3052278 3422574 4578417 5233786 6104556 6845148 7850679 9156834 10467572 13735251 15701358 18313668 23552037 27470502 31402716 47104074 54941004 70656111 94208148 96825041 141312222 193650082 211968333 282624444 290475123 387300164 423936666 580950246 847873332 871425369 1161900492 1742850738 2614276107 3485701476 5228552214 7842828321 10457104428 15685656642 31371313284